Videos tagged cfd
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ME 702 - Computational Fluid Dynamics - Video Lesson 26
NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about
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The conservative discretization [...]in the FVM — A simple example considering a 1D conservation law: using a central difference scheme shows the cancellation of internal fluxes. For the same example, when using the non-conservative form of the equation, all flux terms do not cancel out, resulting in additional internal source terms. Conservative and non-conservative form are mathematically equivalent—but their numerical implementation is not equivalent. The extra source terms are of the same order as the truncation error, but their magnitude depends on the value of derivatives. For discontinuous flows (e.g., shocks), the numerical source terms can become important.
This video is part of the open courseware prepared by Prof. Lorena A. Barba.
For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba
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ME 702 - Computational Fluid Dynamics - Video Lesson 18
NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about
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Nonlinear [...]convection—Inviscid Burgers’ equation in conservative form, and physical interpretation. Discretization of the Burgers’ equation with (i) Lax-Friedrichs scheme, and stability consideratins, and (ii) Lax-Wendroff scheme.
This video is part of the open courseware prepared by Prof. Lorena A. Barba.
For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba
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ME 702 - Computational Fluid Dynamics - Video Lesson 15
NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about
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Spectral analysis of numerical [...]schemes — Recall von Neumann analysis: introducing a Fourier decomposition of the solution, define an amplification factor, G. Then the stability condition is given by G less than 1. But what else can we know about the errors? Amplitude errors: numerical diffusion / error on phase of the solution: numerical dispersion.
This video is part of the open courseware prepared by Prof. Lorena A. Barba.
For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba
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ME 702 - Computational Fluid Dynamics - Video Lesson 14
NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about
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Some schemes presented for [...]linear equations are not well-suited to the solution of non-linear problems. Multi-step methods work well in nonlinear hyperbolic equations—these are FD schemes at split time levels; also called “predictor-corrector†methods. This video lecture presents the following schemes: (1) Richtmyer/Lax-Wendroff (2) Mac-Cormack, as applied to the linear equation. In the final 8 minutes, an exercise dealing with inviscid Burgers' equation is presented.
This video is part of the open courseware prepared by Prof. Lorena A. Barba.
For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba
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ME 702 - Computational Fluid Dynamics - Video Lesson 3
NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about
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Review of the FD method. [...]Definition of “order of accuracy†and “big-O notationâ€. FD formulas for the mid-point: gain an order of accuracy. Simplified model equations: numerical discretizations must be appropriate to the physical properties of the model.
This video is part of the open courseware prepared by Prof. Lorena A. Barba.
For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba
More info
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